1100020121101 has 12 divisors (see below), whose sum is σ = 1261683160416. Its totient is φ = 956539233320.

The previous prime is 1100020121071. The next prime is 1100020121141. The reversal of 1100020121101 is 1011210200011.

It is not a de Polignac number, because 1100020121101 - 2⁷ = 1100020120973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100020121141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197629291 + ... + 197634856.

It is an arithmetic number, because the mean of its divisors is an integer number (105140263368).

Almost surely, 2^{1100020121101} is an apocalyptic number.

1100020121101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100020121101 is a deficient number, since it is larger than the sum of its proper divisors (161663039315).

1100020121101 is a wasteful number, since it uses less digits than its factorization.

1100020121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395264192 (or 395264181 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1100020121101 its reverse (1011210200011), we get a palindrome (2111230321112).

The spelling of 1100020121101 in words is "one trillion, one hundred billion, twenty million, one hundred twenty-one thousand, one hundred one".